Information on Result #1051823
Linear OOA(2120, 8192, F2, 4, 16) (dual of [(8192, 4), 32648, 17]-NRT-code), using OOA 4-folding based on linear OA(2120, 32768, F2, 16) (dual of [32768, 32648, 17]-code), using
- 1 times truncation [i] based on linear OA(2121, 32769, F2, 17) (dual of [32769, 32648, 18]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 32769 | 230−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(2120, 7321, F2, 5, 16) (dual of [(7321, 5), 36485, 17]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(2120, 7321, F2, 6, 16) (dual of [(7321, 6), 43806, 17]-NRT-code) | [i] | ||
| 3 | Linear OOA(2120, 7321, F2, 7, 16) (dual of [(7321, 7), 51127, 17]-NRT-code) | [i] | ||
| 4 | Linear OOA(2120, 7321, F2, 8, 16) (dual of [(7321, 8), 58448, 17]-NRT-code) | [i] | ||
| 5 | Digital (104, 120, 7321)-net over F2 | [i] | ||